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2805056364 = 22311213114747
BaseRepresentation
bin1010011100110001…
…1100001101101100
321020111012121221110
42213030130031230
521221043300424
61142202032020
7126340404615
oct24714341554
97214177843
102805056364
11120a421400
126634a8610
133591aa886
141c877cc0c
151163d7c29
hexa731c36c

2805056364 has 72 divisors (see below), whose sum is σ = 7249644864. Its totient is φ = 843471200.

The previous prime is 2805056363. The next prime is 2805056399. The reversal of 2805056364 is 4636505082.

2805056364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2805056363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182839 + ... + 197585.

It is an arithmetic number, because the mean of its divisors is an integer number (100689512).

Almost surely, 22805056364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2805056364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624822432).

2805056364 is an abundant number, since it is smaller than the sum of its proper divisors (4444588500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2805056364 is a wasteful number, since it uses less digits than its factorization.

2805056364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14907 (or 14894 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2805056364 is about 52962.7828196367. The cubic root of 2805056364 is about 1410.3076578286.

The spelling of 2805056364 in words is "two billion, eight hundred five million, fifty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 131 132 242 262 363 393 484 524 726 786 1441 1452 1572 2882 4323 5764 8646 14747 15851 17292 29494 31702 44241 47553 58988 63404 88482 95106 162217 176964 190212 324434 486651 648868 973302 1784387 1931857 1946604 3568774 3863714 5353161 5795571 7137548 7727428 10706322 11591142 21250427 21412644 23182284 42500854 63751281 85001708 127502562 233754697 255005124 467509394 701264091 935018788 1402528182 2805056364